10829957 has 2 divisors, whose sum is σ = 10829958. Its totient is φ = 10829956.

The previous prime is 10829939. The next prime is 10829971. The reversal of 10829957 is 75992801.

It is a strong prime.

It can be written as a sum of positive squares in only one way, i.e., 8844676 + 1985281 = 2974^2 + 1409^2 .

It is a cyclic number.

It is not a de Polignac number, because 10829957 - 2¹⁰ = 10828933 is a prime.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (10829977) by changing a digit.

It is a good prime.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 5414978 + 5414979.

It is an arithmetic number, because the mean of its divisors is an integer number (5414979).

Almost surely, 2^10829957 is an apocalyptic number.

It is an amenable number.

10829957 is a deficient number, since it is larger than the sum of its proper divisors (1).

10829957 is an equidigital number, since it uses as much as digits as its factorization.

10829957 is an evil number, because the sum of its binary digits is even.

The product of its (nonzero) digits is 45360, while the sum is 41.

The square root of 10829957 is about 3290.8900012003. The cubic root of 10829957 is about 221.2460763027.

The spelling of 10829957 in words is "ten million, eight hundred twenty-nine thousand, nine hundred fifty-seven".