91792 has 10 divisors (see below), whose sum is σ = 177878. Its totient is φ = 45888.

The previous prime is 91781. The next prime is 91801. The reversal of 91792 is 29719.

91792 is nontrivially palindromic in base 12.

It can be written as a sum of positive squares in only one way, i.e., 50176 + 41616 = 224^2 + 204^2 .

It is a magnanimous number.

It is a self number, because there is not a number n which added to its sum of digits gives 91792.

It is an unprimeable 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 as a sum of consecutive naturals, namely, 2853 + ... + 2884.

2⁹¹⁷⁹² is an apocalyptic number.

It is an amenable number.

91792 is a deficient number, since it is larger than the sum of its proper divisors (86086).

91792 is a wasteful number, since it uses less digits than its factorization.

91792 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 5745 (or 5739 counting only the distinct ones).

The product of its digits is 1134, while the sum is 28.

The square root of 91792 is about 302.9719458960. The cubic root of 91792 is about 45.1095274388.

The spelling of 91792 in words is "ninety-one thousand, seven hundred ninety-two".