402829 has 6 divisors (see below), whose sum is σ = 468654. Its totient is φ = 345240.

The previous prime is 402823. The next prime is 402847. The reversal of 402829 is 928204.

It can be written as a sum of positive squares in only one way, i.e., 396900 + 5929 = 630^2 + 77^2 .

It is not a de Polignac number, because 402829 - 2⁵ = 402797 is a prime.

It is a Duffinian number.

402829 is a lucky number.

It is a plaindrome in base 13.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (402823) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 4062 + ... + 4159.

It is an arithmetic number, because the mean of its divisors is an integer number (78109).

2⁴⁰²⁸²⁹ is an apocalyptic number.

402829 is a gapful number since it is divisible by the number (49) formed by its first and last digit.

It is an amenable number.

402829 is a deficient number, since it is larger than the sum of its proper divisors (65825).

402829 is an equidigital number, since it uses as much as digits as its factorization.

402829 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8235 (or 8228 counting only the distinct ones).

The product of its (nonzero) digits is 1152, while the sum is 25.

The square root of 402829 is about 634.6881123828. The cubic root of 402829 is about 73.8539241568.

The spelling of 402829 in words is "four hundred two thousand, eight hundred twenty-nine".