32140013 has 12 divisors (see below), whose sum is σ = 35000532. Its totient is φ = 29410560.

The previous prime is 32139977. The next prime is 32140021. The reversal of 32140013 is 31004123.

It can be written as a sum of positive squares in 6 ways, for example, as 9653449 + 22486564 = 3107^2 + 4742^2 .

It is not a de Polignac number, because 32140013 - 2¹⁴ = 32123629 is a prime.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 32140013.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (32142013) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 22583 + ... + 23963.

It is an arithmetic number, because the mean of its divisors is an integer number (2916711).

Almost surely, 2^32140013 is an apocalyptic number.

It is an amenable number.

32140013 is a deficient number, since it is larger than the sum of its proper divisors (2860519).

32140013 is a wasteful number, since it uses less digits than its factorization.

32140013 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1472 (or 1435 counting only the distinct ones).

The product of its (nonzero) digits is 72, while the sum is 14.

The square root of 32140013 is about 5669.2162597664. The cubic root of 32140013 is about 317.9425716740.

Adding to 32140013 its reverse (31004123), we get a palindrome (63144136).

The spelling of 32140013 in words is "thirty-two million, one hundred forty thousand, thirteen".