165474 has 24 divisors (see below), whose sum is σ = 372060. Its totient is φ = 53088.

The previous prime is 165469. The next prime is 165479. The reversal of 165474 is 474561.

165474 = T₉₂ + T₉₃ + ... + T₁₂₀.

165474 is a `hidden beast` number, since 1 + 654 + 7 + 4 = 666.

It is an interprime number because it is at equal distance from previous prime (165469) and next prime (165479).

It can be written as a sum of positive squares in 2 ways, for example, as 154449 + 11025 = 393^2 + 105^2 .

It is a hoax number, since the sum of its digits (27) coincides with the sum of the digits of its distinct prime factors.

It is an alternating number because its digits alternate between odd and even.

It is not an unprimeable number, because it can be changed into a prime (165479) by changing a digit.

165474 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (7) of ones.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 364 + ... + 680.

2¹⁶⁵⁴⁷⁴ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 165474, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (186030).

165474 is an abundant number, since it is smaller than the sum of its proper divisors (206586).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

165474 is a wasteful number, since it uses less digits than its factorization.

165474 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 354 (or 351 counting only the distinct ones).

The product of its digits is 3360, while the sum is 27.

The square root of 165474 is about 406.7849554740. The cubic root of 165474 is about 54.9005364893.

It can be divided in two parts, 1654 and 74, that added together give a cube (1728 = 12³).

The spelling of 165474 in words is "one hundred sixty-five thousand, four hundred seventy-four".