815953 has 2 divisors, whose sum is σ = 815954. Its totient is φ = 815952.

The previous prime is 815939. The next prime is 815963. The reversal of 815953 is 359518.

815953 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 762129 + 53824 = 873^2 + 232^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-815953 is a prime.

It is not a weakly prime, because it can be changed into another prime (815923) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 407976 + 407977.

It is an arithmetic number, because the mean of its divisors is an integer number (407977).

2⁸¹⁵⁹⁵³ is an apocalyptic number.

It is an amenable number.

815953 is a deficient number, since it is larger than the sum of its proper divisors (1).

815953 is an equidigital number, since it uses as much as digits as its factorization.

815953 is an evil number, because the sum of its binary digits is even.

The product of its digits is 5400, while the sum is 31.

The square root of 815953 is about 903.3011679390. The cubic root of 815953 is about 93.4447804195. Note that the first 3 decimals are identical.

The spelling of 815953 in words is "eight hundred fifteen thousand, nine hundred fifty-three".