642507 has 8 divisors (see below), whose sum is σ = 867840. Its totient is φ = 422760.

The previous prime is 642487. The next prime is 642517. The reversal of 642507 is 705246.

It is a happy number.

It is a sphenic number, since it is the product of 3 distinct primes.

It is not a de Polignac number, because 642507 - 2¹⁸ = 380363 is a prime.

642507 is a lucky number.

It is an inconsummate number, since it does not exist a number n which divided by its sum of digits gives 642507.

It is not an unprimeable number, because it can be changed into a prime (642517) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 1119 + ... + 1592.

It is an arithmetic number, because the mean of its divisors is an integer number (108480).

2⁶⁴²⁵⁰⁷ is an apocalyptic number.

642507 is a deficient number, since it is larger than the sum of its proper divisors (225333).

642507 is a wasteful number, since it uses less digits than its factorization.

642507 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2793.

The product of its (nonzero) digits is 1680, while the sum is 24.

The square root of 642507 is about 801.5653435622. The cubic root of 642507 is about 86.2897653224.

The spelling of 642507 in words is "six hundred forty-two thousand, five hundred seven".