10157829 has 12 divisors (see below), whose sum is σ = 14887488. Its totient is φ = 6156040.

The previous prime is 10157827. The next prime is 10157839. The reversal of 10157829 is 92875101.

It is not a de Polignac number, because 10157829 - 2¹ = 10157827 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (33).

It is a self number, because there is not a number n which added to its sum of digits gives 10157829.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (10157827) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 13629 + ... + 14354.

It is an arithmetic number, because the mean of its divisors is an integer number (1240624).

Almost surely, 2^10157829 is an apocalyptic number.

It is an amenable number.

10157829 is a deficient number, since it is larger than the sum of its proper divisors (4729659).

10157829 is a wasteful number, since it uses less digits than its factorization.

10157829 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 28008 (or 27997 counting only the distinct ones).

The product of its (nonzero) digits is 5040, while the sum is 33.

The square root of 10157829 is about 3187.1349202693. The cubic root of 10157829 is about 216.5709986587.

The spelling of 10157829 in words is "ten million, one hundred fifty-seven thousand, eight hundred twenty-nine".