3962205 has 36 divisors (see below), whose sum is σ = 7451028. Its totient is φ = 1946880.

The previous prime is 3962201. The next prime is 3962213. The reversal of 3962205 is 5022693.

3962205 = 106² + 107² + ... + 235².

3962205 is a `hidden beast` number, since 39 + 622 + 0 + 5 = 666.

It can be written as a sum of positive squares in 6 ways, for example, as 1159929 + 2802276 = 1077^2 + 1674^2 .

It is not a de Polignac number, because 3962205 - 2² = 3962201 is a prime.

It is a Smith number, since the sum of its digits (27) coincides with the sum of the digits of its prime factors.

It is an Ulam number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3962201) by changing a digit.

It is a polite number, since it can be written in 35 ways as a sum of consecutive naturals, for example, 7345 + ... + 7865.

It is an arithmetic number, because the mean of its divisors is an integer number (206973).

Almost surely, 2^3962205 is an apocalyptic number.

It is an amenable number.

3962205 is a deficient number, since it is larger than the sum of its proper divisors (3488823).

3962205 is a wasteful number, since it uses less digits than its factorization.

3962205 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 558 (or 542 counting only the distinct ones).

The product of its (nonzero) digits is 3240, while the sum is 27.

The square root of 3962205 is about 1990.5288242073. The cubic root of 3962205 is about 158.2385570067.

Adding to 3962205 its reverse (5022693), we get a palindrome (8984898).

It can be divided in two parts, 396 and 2205, that added together give a square (2601 = 51²).

The spelling of 3962205 in words is "three million, nine hundred sixty-two thousand, two hundred five".