829437152 has 12 divisors (see below), whose sum is σ = 1632954456. Its totient is φ = 414718560.

The previous prime is 829437151. The next prime is 829437187. The reversal of 829437152 is 251734928.

It is a super-2 number, since 2×829437152² = 1375931978235742208, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (829437151) by changing a digit.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 12959924 + ... + 12959987.

It is an arithmetic number, because the mean of its divisors is an integer number (136079538).

Almost surely, 2^829437152 is an apocalyptic number.

It is an amenable number.

829437152 is a deficient number, since it is larger than the sum of its proper divisors (803517304).

829437152 is a wasteful number, since it uses less digits than its factorization.

829437152 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 25919921 (or 25919913 counting only the distinct ones).

The product of its digits is 120960, while the sum is 41.

The square root of 829437152 is about 28799.9505555131. The cubic root of 829437152 is about 939.5671584990.

The spelling of 829437152 in words is "eight hundred twenty-nine million, four hundred thirty-seven thousand, one hundred fifty-two".