8735013 has 32 divisors (see below), whose sum is σ = 14956800. Its totient is φ = 4935168.

The previous prime is 8735011. The next prime is 8735029. The reversal of 8735013 is 3105378.

It is not a de Polignac number, because 8735013 - 2¹ = 8735011 is a prime.

It is a super-2 number, since 2×8735013² = 152600904220338, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (8735011) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 21153 + ... + 21561.

It is an arithmetic number, because the mean of its divisors is an integer number (467400).

Almost surely, 2^8735013 is an apocalyptic number.

It is an amenable number.

8735013 is a deficient number, since it is larger than the sum of its proper divisors (6221787).

8735013 is a wasteful number, since it uses less digits than its factorization.

8735013 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 538 (or 532 counting only the distinct ones).

The product of its (nonzero) digits is 2520, while the sum is 27.

The square root of 8735013 is about 2955.5055405125. The cubic root of 8735013 is about 205.9465487990.

It can be divided in two parts, 873 and 5013, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 8735013 in words is "eight million, seven hundred thirty-five thousand, thirteen".