642675 has 48 divisors (see below), whose sum is σ = 1249920. Its totient is φ = 288000.

The previous prime is 642673. The next prime is 642683. The reversal of 642675 is 576246.

It is not a de Polignac number, because 642675 - 2¹ = 642673 is a prime.

It is a Smith number, since the sum of its digits (30) coincides with the sum of the digits of its prime factors.

Its product of digits (10080) is a multiple of the sum of its prime factors (84).

642675 is a lucky number.

It is a nialpdrome in base 15.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (642673) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 15655 + ... + 15695.

It is an arithmetic number, because the mean of its divisors is an integer number (26040).

2⁶⁴²⁶⁷⁵ is an apocalyptic number.

642675 is a deficient number, since it is larger than the sum of its proper divisors (607245).

642675 is a wasteful number, since it uses less digits than its factorization.

642675 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 84 (or 79 counting only the distinct ones).

The product of its digits is 10080, while the sum is 30.

The square root of 642675 is about 801.6701316626. The cubic root of 642675 is about 86.2972855607.

The spelling of 642675 in words is "six hundred forty-two thousand, six hundred seventy-five".