902005 has 8 divisors (see below), whose sum is σ = 1165752. Its totient is φ = 666048.

The previous prime is 901997. The next prime is 902009. The reversal of 902005 is 500209.

902005 = T₃₆₆ + T₃₆₇ + ... + T₃₇₈.

It can be written as a sum of positive squares in 4 ways, for example, as 14641 + 887364 = 121^2 + 942^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 902005 - 2³ = 901997 is a prime.

It is a super-2 number, since 2×902005² = 1627226040050, which contains 22 as substring.

It is a Duffinian number.

It is a self number, because there is not a number n which added to its sum of digits gives 902005.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (902009) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 6874 + ... + 7003.

It is an arithmetic number, because the mean of its divisors is an integer number (145719).

2⁹⁰²⁰⁰⁵ is an apocalyptic number.

It is an amenable number.

902005 is a deficient number, since it is larger than the sum of its proper divisors (263747).

902005 is a wasteful number, since it uses less digits than its factorization.

902005 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 13895.

The product of its (nonzero) digits is 90, while the sum is 16.

The square root of 902005 is about 949.7394379513. The cubic root of 902005 is about 96.6205818116.

The spelling of 902005 in words is "nine hundred two thousand, five".