92764 has 12 divisors (see below), whose sum is σ = 185584. Its totient is φ = 39744.

The previous prime is 92761. The next prime is 92767. The reversal of 92764 is 46729.

92764 = T₆₇ + T₆₈ + ... + T₉₄.

It is an interprime number because it is at equal distance from previous prime (92761) and next prime (92767).

92764 is an admirable number.

It is a Harshad number since it is a multiple of its sum of digits (28), and also a Moran number because the ratio is a prime number: 3313 = 92764 / (9 + 2 + 7 + 6 + 4).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (92761) by changing a digit.

It is a polite number, since it can be written in 3 ways as a sum of consecutive naturals, for example, 1629 + ... + 1684.

2⁹²⁷⁶⁴ is an apocalyptic number.

It is an amenable number.

92764 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

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

It is a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (92792).

92764 is a wasteful number, since it uses less digits than its factorization.

92764 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 3324 (or 3322 counting only the distinct ones).

The product of its digits is 3024, while the sum is 28.

The square root of 92764 is about 304.5718306082. The cubic root of 92764 is about 45.2681926786.

The spelling of 92764 in words is "ninety-two thousand, seven hundred sixty-four".