29972997 has 40 divisors (see below), whose sum is σ = 46954776. Its totient is φ = 19035648.

The previous prime is 29972977. The next prime is 29973011. The reversal of 29972997 is 79927992.

It can be written as a sum of positive squares in 4 ways, for example, as 12383361 + 17589636 = 3519^2 + 4194^2 .

It is not a de Polignac number, because 29972997 - 2⁷ = 29972869 is a prime.

It is a super-4 number, since 4×29972997⁴ (a number of 31 digits) contains 4444 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (29972977) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 39 ways as a sum of consecutive naturals, for example, 218713 + ... + 218849.

Almost surely, 2^29972997 is an apocalyptic number.

29972997 is a gapful number since it is divisible by the number (27) formed by its first and last digit.

It is an amenable number.

29972997 is a deficient number, since it is larger than the sum of its proper divisors (16981779).

29972997 is a wasteful number, since it uses less digits than its factorization.

29972997 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 259 (or 250 counting only the distinct ones).

The product of its digits is 1285956, while the sum is 54.

The square root of 29972997 is about 5474.7599947395. The cubic root of 29972997 is about 310.6299952775.

The spelling of 29972997 in words is "twenty-nine million, nine hundred seventy-two thousand, nine hundred ninety-seven".