34513765 has 16 divisors (see below), whose sum is σ = 48658176. Its totient is φ = 23169600.

The previous prime is 34513697. The next prime is 34513769. The reversal of 34513765 is 56731543.

It is not a de Polignac number, because 34513765 - 2¹⁵ = 34480997 is a prime.

It is a super-3 number, since 3×34513765³ (a number of 24 digits) contains 333 as substring.

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 34513765.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (34513769) 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, 23421 + ... + 24850.

It is an arithmetic number, because the mean of its divisors is an integer number (3041136).

Almost surely, 2^34513765 is an apocalyptic number.

It is an amenable number.

34513765 is a deficient number, since it is larger than the sum of its proper divisors (14144411).

34513765 is a wasteful number, since it uses less digits than its factorization.

34513765 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 48300.

The product of its digits is 37800, while the sum is 34.

The square root of 34513765 is about 5874.8416999950. The cubic root of 34513765 is about 325.5847932668.

The spelling of 34513765 in words is "thirty-four million, five hundred thirteen thousand, seven hundred sixty-five".