631407 has 16 divisors (see below), whose sum is σ = 974592. Its totient is φ = 356160.

The previous prime is 631399. The next prime is 631409. The reversal of 631407 is 704136.

It is not a de Polignac number, because 631407 - 2³ = 631399 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (21).

It is a congruent number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 631407.

It is not an unprimeable number, because it can be changed into a prime (631409) 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 15 ways as a sum of consecutive naturals, for example, 2107 + ... + 2387.

It is an arithmetic number, because the mean of its divisors is an integer number (60912).

2⁶³¹⁴⁰⁷ is an apocalyptic number.

631407 is a deficient number, since it is larger than the sum of its proper divisors (343185).

631407 is a wasteful number, since it uses less digits than its factorization.

631407 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 398.

The product of its (nonzero) digits is 504, while the sum is 21.

The square root of 631407 is about 794.6112256947. The cubic root of 631407 is about 85.7899597578.

It can be divided in two parts, 6 and 31407, that added together give a palindrome (31413).

The spelling of 631407 in words is "six hundred thirty-one thousand, four hundred seven".