3802167 has 16 divisors (see below), whose sum is σ = 5741280. Its totient is φ = 2486016.

The previous prime is 3802151. The next prime is 3802171. The reversal of 3802167 is 7612083.

It is not a de Polignac number, because 3802167 - 2⁴ = 3802151 is a prime.

It is a super-4 number, since 4×3802167⁴ (a number of 27 digits) contains 4444 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a self number, because there is not a number n which added to its sum of digits gives 3802167.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3802187) by changing a digit.

It is a polite number, since it can be written in 15 ways as a sum of consecutive naturals, for example, 103 + ... + 2759.

It is an arithmetic number, because the mean of its divisors is an integer number (358830).

Almost surely, 2^3802167 is an apocalyptic number.

3802167 is a deficient number, since it is larger than the sum of its proper divisors (1939113).

3802167 is a wasteful number, since it uses less digits than its factorization.

3802167 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2719 (or 2713 counting only the distinct ones).

The product of its (nonzero) digits is 2016, while the sum is 27.

The square root of 3802167 is about 1949.9146135152. The cubic root of 3802167 is about 156.0787324468.

It can be divided in two parts, 3802 and 167, that added together give a square (3969 = 63²).

The spelling of 3802167 in words is "three million, eight hundred two thousand, one hundred sixty-seven".