164992 has 16 divisors (see below), whose sum is σ = 328950. Its totient is φ = 82432.

The previous prime is 164987. The next prime is 164999. The reversal of 164992 is 299461.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 118336 + 46656 = 344^2 + 216^2 .

It is a tau number, because it is divible by the number of its divisors (16).

It is not an unprimeable number, because it can be changed into a prime (164999) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 517 + ... + 772.

2¹⁶⁴⁹⁹² is an apocalyptic number.

It is an amenable number.

164992 is a deficient number, since it is larger than the sum of its proper divisors (163958).

164992 is an equidigital number, since it uses as much as digits as its factorization.

164992 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1303 (or 1291 counting only the distinct ones).

The product of its digits is 3888, while the sum is 31.

The square root of 164992 is about 406.1920727932. The cubic root of 164992 is about 54.8471790766.

It can be divided in two parts, 164 and 992, that added together give a square (1156 = 34²).

The spelling of 164992 in words is "one hundred sixty-four thousand, nine hundred ninety-two".