56735007 has 16 divisors (see below), whose sum is σ = 91004160. Its totient is φ = 30713472.

The previous prime is 56734987. The next prime is 56735027. The reversal of 56735007 is 70053765.

It is a happy number.

It is an interprime number because it is at equal distance from previous prime (56734987) and next prime (56735027).

It is not a de Polignac number, because 56735007 - 2¹² = 56730911 is a prime.

It is a super-2 number, since 2×56735007² = 6437722038580098, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (56735027) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 70698 + ... + 71495.

It is an arithmetic number, because the mean of its divisors is an integer number (5687760).

Almost surely, 2^56735007 is an apocalyptic number.

56735007 is a gapful number since it is divisible by the number (57) formed by its first and last digit.

56735007 is a deficient number, since it is larger than the sum of its proper divisors (34269153).

56735007 is a wasteful number, since it uses less digits than its factorization.

56735007 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 142222.

The product of its (nonzero) digits is 22050, while the sum is 33.

The square root of 56735007 is about 7532.2644005638. The cubic root of 56735007 is about 384.2527971365.

The spelling of 56735007 in words is "fifty-six million, seven hundred thirty-five thousand, seven".