38077083 has 48 divisors (see below), whose sum is σ = 65295360. Its totient is φ = 21124800.

The previous prime is 38077063. The next prime is 38077103.

38077083 is nontrivially palindromic in base 10.

It is an interprime number because it is at equal distance from previous prime (38077063) and next prime (38077103).

It is not a de Polignac number, because 38077083 - 2⁸ = 38076827 is a prime.

It is a Smith number, since the sum of its digits (36) coincides with the sum of the digits of its prime factors.

It is not an unprimeable number, because it can be changed into a prime (38077043) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 57985 + ... + 58637.

It is an arithmetic number, because the mean of its divisors is an integer number (1360320).

Almost surely, 2^38077083 is an apocalyptic number.

38077083 is a gapful number since it is divisible by the number (33) formed by its first and last digit.

38077083 is a deficient number, since it is larger than the sum of its proper divisors (27218277).

38077083 is a wasteful number, since it uses less digits than its factorization.

38077083 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 720 (or 717 counting only the distinct ones).

The product of its (nonzero) digits is 28224, while the sum is 36.

The square root of 38077083 is about 6170.6630924075. The cubic root of 38077083 is about 336.4247127133.

The spelling of 38077083 in words is "thirty-eight million, seventy-seven thousand, eighty-three".