631125 has 64 divisors (see below), whose sum is σ = 1347840. Its totient is φ = 288000.

The previous prime is 631121. The next prime is 631133. The reversal of 631125 is 521136.

It is not a de Polignac number, because 631125 - 2² = 631121 is a prime.

It is a hoax number, since the sum of its digits (18) coincides with the sum of the digits of its distinct prime factors.

Its product of digits (180) is a multiple of the sum of its prime divisors (36).

It is a nialpdrome in base 15.

It is a junction number, because it is equal to n+sod(n) for n = 631098 and 631107.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (631121) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 37117 + ... + 37133.

It is an arithmetic number, because the mean of its divisors is an integer number (21060).

2⁶³¹¹²⁵ is an apocalyptic number.

631125 is the 459-th octagonal number and also the 425-th nonagonal number.

It is an amenable number.

631125 is an abundant number, since it is smaller than the sum of its proper divisors (716715).

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

631125 is a wasteful number, since it uses less digits than its factorization.

631125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 52 (or 36 counting only the distinct ones).

The product of its digits is 180, while the sum is 18.

The square root of 631125 is about 794.4337606119. The cubic root of 631125 is about 85.7771859731. Note that the first 3 decimals are identical.

It can be divided in two parts, 6311 and 25, that added together give a palindrome (6336).

The spelling of 631125 in words is "six hundred thirty-one thousand, one hundred twenty-five".