3667125 has 64 divisors (see below), whose sum is σ = 7667712. Its totient is φ = 1512000.

The previous prime is 3667117. The next prime is 3667127. The reversal of 3667125 is 5217663.

3667125 = T₁₇₄ + T₁₇₅ + ... + T₃₀₀.

It is not a de Polignac number, because 3667125 - 2³ = 3667117 is a prime.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 3667092 and 3667101.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3667127) by changing a digit.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 28812 + ... + 28938.

It is an arithmetic number, because the mean of its divisors is an integer number (119808).

Almost surely, 2^3667125 is an apocalyptic number.

3667125 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3667125 is an abundant number, since it is smaller than the sum of its proper divisors (4000587).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

3667125 is a wasteful number, since it uses less digits than its factorization.

3667125 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 163 (or 153 counting only the distinct ones).

The product of its digits is 7560, while the sum is 30.

The square root of 3667125 is about 1914.9738901614. The cubic root of 3667125 is about 154.2085917954.

It can be divided in two parts, 36 and 67125, that added together give a triangular number (67161 = T₃₆₆).

The spelling of 3667125 in words is "three million, six hundred sixty-seven thousand, one hundred twenty-five".