3353805 has 90 divisors (see below), whose sum is σ = 7572906. Its totient is φ = 1415232.

The previous prime is 3353803. The next prime is 3353807. The reversal of 3353805 is 5083533.

It is an interprime number because it is at equal distance from previous prime (3353803) and next prime (3353807).

It can be written as a sum of positive squares in 3 ways, for example, as 15876 + 3337929 = 126^2 + 1827^2 .

It is not a de Polignac number, because 3353805 - 2¹ = 3353803 is a prime.

It is a super-2 number, since 2×3353805² = 22496015956050, which contains 22 as substring.

It is a Harshad number since it is a multiple of its sum of digits (27).

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (3353803) by changing a digit.

It is a polite number, since it can be written in 89 ways as a sum of consecutive naturals, for example, 257979 + ... + 257991.

Almost surely, 2^3353805 is an apocalyptic number.

3353805 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

3353805 is an abundant number, since it is smaller than the sum of its proper divisors (4219101).

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

3353805 is a wasteful number, since it uses less digits than its factorization.

3353805 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 57 (or 28 counting only the distinct ones).

The product of its (nonzero) digits is 5400, while the sum is 27.

The square root of 3353805 is about 1831.3396735723. The cubic root of 3353805 is about 149.6853403904.

The spelling of 3353805 in words is "three million, three hundred fifty-three thousand, eight hundred five".