653172 has 48 divisors (see below), whose sum is σ = 1693440. Its totient is φ = 194688.

The previous prime is 653153. The next prime is 653197. The reversal of 653172 is 271356.

It is a super-3 number, since 3×653172³ = 835995486012433344, which contains 333 as substring.

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 653172.

It is an unprimeable number.

653172 is an untouchable number, because it is not equal to the sum of proper divisors of any number.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 8229 + ... + 8307.

It is an arithmetic number, because the mean of its divisors is an integer number (35280).

2⁶⁵³¹⁷² is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 653172, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (846720).

653172 is an abundant number, since it is smaller than the sum of its proper divisors (1040268).

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

653172 is a wasteful number, since it uses less digits than its factorization.

653172 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 152 (or 150 counting only the distinct ones).

The product of its digits is 1260, while the sum is 24.

The square root of 653172 is about 808.1905715857. The cubic root of 653172 is about 86.7645901706.

The spelling of 653172 in words is "six hundred fifty-three thousand, one hundred seventy-two".