29506957 has 2 divisors, whose sum is σ = 29506958. Its totient is φ = 29506956.

The previous prime is 29506927. The next prime is 29506973. The reversal of 29506957 is 75960592.

It is a happy number.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 29387241 + 119716 = 5421^2 + 346^2 .

It is a cyclic number.

It is a de Polignac number, because none of the positive numbers 2^k-29506957 is a prime.

It is a super-4 number, since 4×29506957⁴ (a number of 31 digits) contains 4444 as substring. Note that it is a super-d number also for d = 2.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (29506927) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 14753478 + 14753479.

It is an arithmetic number, because the mean of its divisors is an integer number (14753479).

Almost surely, 2^29506957 is an apocalyptic number.

It is an amenable number.

29506957 is a deficient number, since it is larger than the sum of its proper divisors (1).

29506957 is an equidigital number, since it uses as much as digits as its factorization.

29506957 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 170100, while the sum is 43.

The square root of 29506957 is about 5432.0306516072. The cubic root of 29506957 is about 309.0116179305.

It can be divided in two parts, 29 and 506957, that multiplied together give a triangular number (14701753 = T₅₄₂₂).

The spelling of 29506957 in words is "twenty-nine million, five hundred six thousand, nine hundred fifty-seven".