73831641 has 24 divisors (see below), whose sum is σ = 107667840. Its totient is φ = 44736384.

The previous prime is 73831631. The next prime is 73831669. The reversal of 73831641 is 14613837.

It is not a de Polignac number, because 73831641 - 2¹⁵ = 73798873 is a prime.

It is a super-3 number, since 3×73831641³ (a number of 25 digits) contains 333 as substring. Note that it is a super-d number also for d = 2.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (73831621) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 308800 + ... + 309038.

It is an arithmetic number, because the mean of its divisors is an integer number (4486160).

Almost surely, 2^73831641 is an apocalyptic number.

It is an amenable number.

73831641 is a deficient number, since it is larger than the sum of its proper divisors (33836199).

73831641 is a wasteful number, since it uses less digits than its factorization.

73831641 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 433 (or 344 counting only the distinct ones).

The product of its digits is 12096, while the sum is 33.

The square root of 73831641 is about 8592.5340267002. The cubic root of 73831641 is about 419.5150127478.

It can be divided in two parts, 7383 and 1641, that multiplied together give a triangular number (12115503 = T₄₉₂₂).

The spelling of 73831641 in words is "seventy-three million, eight hundred thirty-one thousand, six hundred forty-one".