29735145 has 72 divisors (see below), whose sum is σ = 58426368. Its totient is φ = 13970880.

The previous prime is 29735137. The next prime is 29735183. The reversal of 29735145 is 54153792.

29735145 = 223² + 224² + ... + 464².

It is not a de Polignac number, because 29735145 - 2³ = 29735137 is a prime.

Its product of digits (37800) is a multiple of the sum of its prime divisors (189).

It is an unprimeable number.

It is a polite number, since it can be written in 71 ways as a sum of consecutive naturals, for example, 234072 + ... + 234198.

Almost surely, 2^29735145 is an apocalyptic number.

It is an amenable number.

29735145 is a deficient number, since it is larger than the sum of its proper divisors (28691223).

29735145 is a wasteful number, since it uses less digits than its factorization.

29735145 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 203 (or 189 counting only the distinct ones).

The product of its digits is 37800, while the sum is 36.

The square root of 29735145 is about 5452.9941316675. The cubic root of 29735145 is about 309.8061396329.

It can be divided in two parts, 2973 and 5145, that added together give a palindrome (8118).

The spelling of 29735145 in words is "twenty-nine million, seven hundred thirty-five thousand, one hundred forty-five".