262164 has 24 divisors (see below), whose sum is σ = 699328. Its totient is φ = 74880.

The previous prime is 262153. The next prime is 262187. The reversal of 262164 is 461262.

262164 = T₂₅₂ + T₂₅₃ + ... + T₂₅₉.

It is a happy number.

It is a Smith number, since the sum of its digits (21) coincides with the sum of the digits of its prime factors.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a nude number because it is divisible by every one of its digits.

It is a self number, because there is not a number n which added to its sum of digits gives 262164.

It is a congruent number.

It is an unprimeable number.

It is a pernicious number, because its binary representation contains a prime number (3) of ones.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1477 + ... + 1644.

2²⁶²¹⁶⁴ is an apocalyptic number.

It is an amenable number.

262164 is an abundant number, since it is smaller than the sum of its proper divisors (437164).

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

262164 is a wasteful number, since it uses less digits than its factorization.

262164 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3135 (or 3133 counting only the distinct ones).

The product of its digits is 576, while the sum is 21.

The square root of 262164 is about 512.0195308775. The cubic root of 262164 is about 64.0016275628.

The spelling of 262164 in words is "two hundred sixty-two thousand, one hundred sixty-four".