33401004 has 96 divisors (see below), whose sum is σ = 97466880. Its totient is φ = 8667648.

The previous prime is 33400999. The next prime is 33401009. The reversal of 33401004 is 40010433.

It is an interprime number because it is at equal distance from previous prime (33400999) and next prime (33401009).

It is a super-2 number, since 2×33401004² = 2231254136416032, which contains 22 as substring.

It is not an unprimeable number, because it can be changed into a prime (33401009) by changing a digit.

It is a polite number, since it can be written in 31 ways as a sum of consecutive naturals, for example, 79507 + ... + 79925.

It is an arithmetic number, because the mean of its divisors is an integer number (1015280).

Almost surely, 2^33401004 is an apocalyptic number.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 33401004, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (48733440).

33401004 is an abundant number, since it is smaller than the sum of its proper divisors (64065876).

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

33401004 is a wasteful number, since it uses less digits than its factorization.

33401004 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 519 (or 517 counting only the distinct ones).

The product of its (nonzero) digits is 144, while the sum is 15.

The square root of 33401004 is about 5779.3601721990. The cubic root of 33401004 is about 322.0474320261.

Adding to 33401004 its reverse (40010433), we get a palindrome (73411437).

The spelling of 33401004 in words is "thirty-three million, four hundred one thousand, four".