3735953 has 8 divisors (see below), whose sum is σ = 4069800. Its totient is φ = 3408768.

The previous prime is 3735943. The next prime is 3735967. The reversal of 3735953 is 3595373.

It can be written as a sum of positive squares in 4 ways, for example, as 18769 + 3717184 = 137^2 + 1928^2 .

It is a sphenic number, since it is the product of 3 distinct primes.

It is a cyclic number.

It is not a de Polignac number, because 3735953 - 2¹⁶ = 3670417 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (3735923) by changing a digit.

It is a polite number, since it can be written in 7 ways as a sum of consecutive naturals, for example, 458 + ... + 2771.

It is an arithmetic number, because the mean of its divisors is an integer number (508725).

Almost surely, 2^3735953 is an apocalyptic number.

It is an amenable number.

3735953 is a deficient number, since it is larger than the sum of its proper divisors (333847).

3735953 is a wasteful number, since it uses less digits than its factorization.

3735953 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 3331.

The product of its digits is 42525, while the sum is 35.

The square root of 3735953 is about 1932.8613504336. The cubic root of 3735953 is about 155.1673945968.

The spelling of 3735953 in words is "three million, seven hundred thirty-five thousand, nine hundred fifty-three".