5785101 has 48 divisors (see below), whose sum is σ = 10483200. Its totient is φ = 3114288.

The previous prime is 5785097. The next prime is 5785103. The reversal of 5785101 is 1015875.

5785101 is a nontrivial binomial coefficient, being equal to C(3402, 2).

It is not a de Polignac number, because 5785101 - 2² = 5785097 is a prime.

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

5785101 is a lucky number.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (5785103) by changing a digit.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 32230 + ... + 32408.

It is an arithmetic number, because the mean of its divisors is an integer number (218400).

Almost surely, 2^5785101 is an apocalyptic number.

5785101 is the 3401-st triangular number and also the 1701-st hexagonal number.

It is an amenable number.

5785101 is a deficient number, since it is larger than the sum of its proper divisors (4698099).

5785101 is a wasteful number, since it uses less digits than its factorization.

5785101 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 220 (or 208 counting only the distinct ones).

The product of its (nonzero) digits is 1400, while the sum is 27.

The square root of 5785101 is about 2405.2236902209. The cubic root of 5785101 is about 179.5162008225.

It can be divided in two parts, 5785 and 101, that added together give a triangular number (5886 = T₁₀₈).

The spelling of 5785101 in words is "five million, seven hundred eighty-five thousand, one hundred one".