631947953 has 54 divisors (see below), whose sum is σ = 855613206. Its totient is φ = 463567104.

The previous prime is 631947907. The next prime is 631948001. The reversal of 631947953 is 359749136.

It can be written as a sum of positive squares in 3 ways, for example, as 14077504 + 617870449 = 3752^2 + 24857^2 .

It is not a de Polignac number, because 631947953 - 2⁸ = 631947697 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 631947898 and 631947907.

It is not an unprimeable number, because it can be changed into a prime (631941953) by changing a digit.

It is a polite number, since it can be written in 53 ways as a sum of consecutive naturals, for example, 9432026 + ... + 9432092.

It is an arithmetic number, because the mean of its divisors is an integer number (15844689).

Almost surely, 2^631947953 is an apocalyptic number.

It is an amenable number.

631947953 is a deficient number, since it is larger than the sum of its proper divisors (223665253).

631947953 is a wasteful number, since it uses less digits than its factorization.

631947953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 191 (or 104 counting only the distinct ones).

The product of its digits is 612360, while the sum is 47.

The square root of 631947953 is about 25138.5749993909. The cubic root of 631947953 is about 858.1445272299.

The spelling of 631947953 in words is "six hundred thirty-one million, nine hundred forty-seven thousand, nine hundred fifty-three".