652957 has 2 divisors, whose sum is σ = 652958. Its totient is φ = 652956.

The previous prime is 652943. The next prime is 652969. The reversal of 652957 is 759256.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 401956 + 251001 = 634^2 + 501^2 .

It is a cyclic number.

It is not a de Polignac number, because 652957 - 2¹⁹ = 128669 is a prime.

It is a super-3 number, since 3×652957³ = 835170221583334479, which contains 333 as substring.

652957 is a lucky number.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (652937) by changing a digit.

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 as a sum of consecutive naturals, namely, 326478 + 326479.

It is an arithmetic number, because the mean of its divisors is an integer number (326479).

2⁶⁵²⁹⁵⁷ is an apocalyptic number.

It is an amenable number.

652957 is a deficient number, since it is larger than the sum of its proper divisors (1).

652957 is an equidigital number, since it uses as much as digits as its factorization.

652957 is an odious number, because the sum of its binary digits is odd.

The product of its digits is 18900, while the sum is 34.

The square root of 652957 is about 808.0575474556. The cubic root of 652957 is about 86.7550692307.

The spelling of 652957 in words is "six hundred fifty-two thousand, nine hundred fifty-seven".