862953 has 32 divisors (see below), whose sum is σ = 1478400. Its totient is φ = 435456.

The previous prime is 862943. The next prime is 862957. The reversal of 862953 is 359268.

It is a happy number.

It is not a de Polignac number, because 862953 - 2⁵ = 862921 is a prime.

It is a Curzon number.

862953 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (862957) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 7863 + ... + 7971.

It is an arithmetic number, because the mean of its divisors is an integer number (46200).

2⁸⁶²⁹⁵³ is an apocalyptic number.

It is an amenable number.

862953 is a deficient number, since it is larger than the sum of its proper divisors (615447).

862953 is a wasteful number, since it uses less digits than its factorization.

862953 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 161.

The product of its digits is 12960, while the sum is 33.

The square root of 862953 is about 928.9526360370. The cubic root of 862953 is about 95.2055751390.

Adding to 862953 its reverse (359268), we get a palindrome (1222221).

The spelling of 862953 in words is "eight hundred sixty-two thousand, nine hundred fifty-three".