4006925 has 12 divisors (see below), whose sum is σ = 5351220. Its totient is φ = 2958720.

The previous prime is 4006913. The next prime is 4006927. The reversal of 4006925 is 5296004.

4006925 = 380² + 381² + ... + 405².

It can be written as a sum of positive squares in 6 ways, for example, as 1705636 + 2301289 = 1306^2 + 1517^2 .

It is not a de Polignac number, because 4006925 - 2⁶ = 4006861 is a prime.

It is a hoax number, since the sum of its digits (26) coincides with the sum of the digits of its distinct prime factors.

It is an Ulam number.

It is a junction number, because it is equal to n+sod(n) for n = 4006894 and 4006903.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4006927) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 5840 + ... + 6489.

It is an arithmetic number, because the mean of its divisors is an integer number (445935).

Almost surely, 2^4006925 is an apocalyptic number.

It is an amenable number.

4006925 is a deficient number, since it is larger than the sum of its proper divisors (1344295).

4006925 is a wasteful number, since it uses less digits than its factorization.

4006925 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 12352 (or 12347 counting only the distinct ones).

The product of its (nonzero) digits is 2160, while the sum is 26.

The square root of 4006925 is about 2001.7305013413. The cubic root of 4006925 is about 158.8316586522.

The spelling of 4006925 in words is "four million, six thousand, nine hundred twenty-five".