92466 has 24 divisors (see below), whose sum is σ = 219024. Its totient is φ = 27960.

The previous prime is 92461. The next prime is 92467. The reversal of 92466 is 66429.

92466 = 45² + 46² + ... + 71².

92466 is nontrivially palindromic in base 8.

It is a super-2 number, since 2×92466² = 17099922312, which contains 22 as substring.

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

It is a plaindrome in base 14.

It is not an unprimeable number, because it can be changed into a prime (92461) by changing a digit.

92466 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 36 + ... + 431.

It is an arithmetic number, because the mean of its divisors is an integer number (9126).

2⁹²⁴⁶⁶ is an apocalyptic number.

It is a practical number, because each smaller number is the sum of distinct divisors of 92466, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (109512).

92466 is an abundant number, since it is smaller than the sum of its proper divisors (126558).

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

92466 is a wasteful number, since it uses less digits than its factorization.

92466 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 486 (or 483 counting only the distinct ones).

The product of its digits is 2592, while the sum is 27.

The square root of 92466 is about 304.0822257219. The cubic root of 92466 is about 45.2196666969.

It can be divided in two parts, 924 and 66, that added together give a triangular number (990 = T₄₄).

The spelling of 92466 in words is "ninety-two thousand, four hundred sixty-six".