652953 has 32 divisors (see below), whose sum is σ = 1105920. Its totient is φ = 334080.

The previous prime is 652943. The next prime is 652957. The reversal of 652953 is 359256.

It is not a de Polignac number, because 652953 - 2⁴ = 652937 is a prime.

It is a Curzon number.

It is a self number, because there is not a number n which added to its sum of digits gives 652953.

It is not an unprimeable number, because it can be changed into a prime (652957) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 11038 + ... + 11096.

It is an arithmetic number, because the mean of its divisors is an integer number (34560).

2⁶⁵²⁹⁵³ is an apocalyptic number.

It is an amenable number.

652953 is a deficient number, since it is larger than the sum of its proper divisors (452967).

652953 is a wasteful number, since it uses less digits than its factorization.

652953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 117.

The product of its digits is 8100, while the sum is 30.

The square root of 652953 is about 808.0550723806. The cubic root of 652953 is about 86.7548920771.

The spelling of 652953 in words is "six hundred fifty-two thousand, nine hundred fifty-three".