4801965 has 64 divisors (see below), whose sum is σ = 9676800. Its totient is φ = 1983744.

The previous prime is 4801949. The next prime is 4801969. The reversal of 4801965 is 5691084.

It is not a de Polignac number, because 4801965 - 2⁴ = 4801949 is a prime.

It is a super-2 number, since 2×4801965² = 46117735722450, which contains 22 as substring.

It is a Curzon number.

4801965 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (4801969) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (11) of ones.

It is a polite number, since it can be written in 63 ways as a sum of consecutive naturals, for example, 57814 + ... + 57896.

It is an arithmetic number, because the mean of its divisors is an integer number (151200).

Almost surely, 2^4801965 is an apocalyptic number.

It is an amenable number.

4801965 is a primitive abundant number, since it is smaller than the sum of its proper divisors, none of which is abundant.

4801965 is a wasteful number, since it uses less digits than its factorization.

4801965 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 146.

The product of its (nonzero) digits is 8640, while the sum is 33.

The square root of 4801965 is about 2191.3386319782. The cubic root of 4801965 is about 168.7095486031.

It can be divided in two parts, 48019 and 65, that added together give a palindrome (48084).

The spelling of 4801965 in words is "four million, eight hundred one thousand, nine hundred sixty-five".