38002085 has 32 divisors (see below), whose sum is σ = 51853824. Its totient is φ = 26496000.

The previous prime is 38002079. The next prime is 38002091. The reversal of 38002085 is 58020083.

It is an interprime number because it is at equal distance from previous prime (38002079) and next prime (38002091).

It is not a de Polignac number, because 38002085 - 2¹² = 37997989 is a prime.

It is a congruent number.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 157565 + ... + 157805.

It is an arithmetic number, because the mean of its divisors is an integer number (1620432).

Almost surely, 2^38002085 is an apocalyptic number.

It is an amenable number.

38002085 is a deficient number, since it is larger than the sum of its proper divisors (13851739).

38002085 is a wasteful number, since it uses less digits than its factorization.

38002085 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 365.

The product of its (nonzero) digits is 1920, while the sum is 26.

The square root of 38002085 is about 6164.5831164808. The cubic root of 38002085 is about 336.2036894435.

It can be divided in two parts, 3800 and 2085, that added together give a palindrome (5885).

The spelling of 38002085 in words is "thirty-eight million, two thousand, eighty-five".