827125929 has 18 divisors (see below), whose sum is σ = 1389797370. Its totient is φ = 472643136.

The previous prime is 827125927. The next prime is 827125961. The reversal of 827125929 is 929521728.

It is a happy number.

It can be written as a sum of positive squares in only one way, i.e., 722534400 + 104591529 = 26880^2 + 10227^2 .

It is not a de Polignac number, because 827125929 - 2¹ = 827125927 is a prime.

It is a super-2 number, since 2×827125929² = 1368274604848226082, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (827125927) by changing a digit.

It is a polite number, since it can be written in 17 ways as a sum of consecutive naturals, for example, 937344 + ... + 938225.

It is an arithmetic number, because the mean of its divisors is an integer number (77210965).

Almost surely, 2^827125929 is an apocalyptic number.

It is an amenable number.

827125929 is a deficient number, since it is larger than the sum of its proper divisors (562671441).

827125929 is a wasteful number, since it uses less digits than its factorization.

827125929 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1875589 (or 1875579 counting only the distinct ones).

The product of its digits is 181440, while the sum is 45.

The square root of 827125929 is about 28759.7970959463. The cubic root of 827125929 is about 938.6936467230.

It can be divided in two parts, 827 and 125929, that added together give a triangular number (126756 = T₅₀₃).

The spelling of 827125929 in words is "eight hundred twenty-seven million, one hundred twenty-five thousand, nine hundred twenty-nine".