4957965 has 24 divisors (see below), whose sum is σ = 9100728. Its totient is φ = 2488320.

The previous prime is 4957937. The next prime is 4957969. The reversal of 4957965 is 5697594.

It is a happy number.

4957965 is digitally balanced in base 4, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in 4 ways, for example, as 2304324 + 2653641 = 1518^2 + 1629^2 .

It is not a de Polignac number, because 4957965 - 2⁷ = 4957837 is a prime.

It is a Harshad number since it is a multiple of its sum of digits (45).

It is a self number, because there is not a number n which added to its sum of digits gives 4957965.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4957969) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 2476 + ... + 4005.

It is an arithmetic number, because the mean of its divisors is an integer number (379197).

Almost surely, 2^4957965 is an apocalyptic number.

4957965 is a gapful number since it is divisible by the number (45) formed by its first and last digit.

It is an amenable number.

4957965 is a deficient number, since it is larger than the sum of its proper divisors (4142763).

4957965 is a wasteful number, since it uses less digits than its factorization.

4957965 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 6509 (or 6506 counting only the distinct ones).

The product of its digits is 340200, while the sum is 45.

The square root of 4957965 is about 2226.6488272738. The cubic root of 4957965 is about 170.5170532445.

The spelling of 4957965 in words is "four million, nine hundred fifty-seven thousand, nine hundred sixty-five".