29552085 has 24 divisors (see below), whose sum is σ = 52611000. Its totient is φ = 15334272.

The previous prime is 29552041. The next prime is 29552119. The reversal of 29552085 is 58025592.

29552085 is a `hidden beast` number, since 29 + 552 + 0 + 85 = 666.

It can be written as a sum of positive squares in 4 ways, for example, as 2241009 + 27311076 = 1497^2 + 5226^2 .

It is not a de Polignac number, because 29552085 - 2²⁴ = 12774869 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 7210 + ... + 10539.

It is an arithmetic number, because the mean of its divisors is an integer number (2192125).

Almost surely, 2^29552085 is an apocalyptic number.

It is an amenable number.

29552085 is a deficient number, since it is larger than the sum of its proper divisors (23058915).

29552085 is a wasteful number, since it uses less digits than its factorization.

29552085 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 17797 (or 17794 counting only the distinct ones).

The product of its (nonzero) digits is 36000, while the sum is 36.

The square root of 29552085 is about 5436.1829439415. The cubic root of 29552085 is about 309.1690720197.

The spelling of 29552085 in words is "twenty-nine million, five hundred fifty-two thousand, eighty-five".