33420905 has 32 divisors (see below), whose sum is σ = 49939200. Its totient is φ = 20950272.

The previous prime is 33420889. The next prime is 33420913. The reversal of 33420905 is 50902433.

It is not a de Polignac number, because 33420905 - 2⁴ = 33420889 is a prime.

It is a super-2 number, since 2×33420905² = 2233913782038050, which contains 22 as substring.

It is an unprimeable number.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 18419 + ... + 20151.

It is an arithmetic number, because the mean of its divisors is an integer number (1560600).

Almost surely, 2^33420905 is an apocalyptic number.

33420905 is a gapful number since it is divisible by the number (35) formed by its first and last digit.

It is an amenable number.

33420905 is a deficient number, since it is larger than the sum of its proper divisors (16518295).

33420905 is a wasteful number, since it uses less digits than its factorization.

33420905 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 1793.

The product of its (nonzero) digits is 3240, while the sum is 26.

The square root of 33420905 is about 5781.0816461974. The cubic root of 33420905 is about 322.1113801386. Note that the first 3 decimals are identical.

It can be divided in two parts, 3 and 3420905, that multiplied together give a triangular number (10262715 = T₄₅₃₀).

The spelling of 33420905 in words is "thirty-three million, four hundred twenty thousand, nine hundred five".