642537 has 36 divisors (see below), whose sum is σ = 1138176. Its totient is φ = 347760.

The previous prime is 642533. The next prime is 642547. The reversal of 642537 is 735246.

It is a happy number.

642537 is nontrivially palindromic in base 15.

It is not a de Polignac number, because 642537 - 2² = 642533 is a prime.

It is a d-powerful number, because it can be written as 6³ + 4² + 5³ + 2¹⁹ + 3⁵ + 7⁶ .

642537 is a lucky number.

It is a self number, because there is not a number n which added to its sum of digits gives 642537.

It is not an unprimeable number, because it can be changed into a prime (642533) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 13648 + ... + 13694.

It is an arithmetic number, because the mean of its divisors is an integer number (31616).

2⁶⁴²⁵³⁷ is an apocalyptic number.

It is an amenable number.

642537 is a deficient number, since it is larger than the sum of its proper divisors (495639).

642537 is a wasteful number, since it uses less digits than its factorization.

642537 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 98 (or 88 counting only the distinct ones).

The product of its digits is 5040, while the sum is 27.

The square root of 642537 is about 801.5840567277. The cubic root of 642537 is about 86.2911083182.

It can be divided in two parts, 64 and 2537, that added together give a square (2601 = 51²).

The spelling of 642537 in words is "six hundred forty-two thousand, five hundred thirty-seven".