165972753 has 8 divisors (see below), whose sum is σ = 245885600. Its totient is φ = 110648484.

The previous prime is 165972743. The next prime is 165972767. The reversal of 165972753 is 357279561.

165972753 is a `hidden beast` number, since 1 + 6 + 597 + 2 + 7 + 53 = 666.

It is not a de Polignac number, because 165972753 - 2⁵ = 165972721 is a prime.

It is a Duffinian number.

It is a Curzon number.

It is a junction number, because it is equal to n+sod(n) for n = 165972699 and 165972708.

It is not an unprimeable number, because it can be changed into a prime (165972743) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 3073543 + ... + 3073596.

It is an arithmetic number, because the mean of its divisors is an integer number (30735700).

Almost surely, 2^165972753 is an apocalyptic number.

It is an amenable number.

165972753 is a deficient number, since it is larger than the sum of its proper divisors (79912847).

165972753 is an equidigital number, since it uses as much as digits as its factorization.

165972753 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6147148 (or 6147142 counting only the distinct ones).

The product of its digits is 396900, while the sum is 45.

The square root of 165972753 is about 12883.0412946633. The cubic root of 165972753 is about 549.5563949215.

The spelling of 165972753 in words is "one hundred sixty-five million, nine hundred seventy-two thousand, seven hundred fifty-three".