58249821 has 32 divisors (see below), whose sum is σ = 91542528. Its totient is φ = 32256000.

The previous prime is 58249819. The next prime is 58249847. The reversal of 58249821 is 12894285.

58249821 is a nontrivial binomial coefficient, being equal to C(10794, 2).

It is not a de Polignac number, because 58249821 - 2¹ = 58249819 is a prime.

It is a Smith number, since the sum of its digits (39) coincides with the sum of the digits of its prime factors. Since it is squarefree, it is also a hoax number.

It is a self number, because there is not a number n which added to its sum of digits gives 58249821.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (58249861) 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, 226525 + ... + 226781.

It is an arithmetic number, because the mean of its divisors is an integer number (2860704).

Almost surely, 2^58249821 is an apocalyptic number.

58249821 is the 10793-rd triangular number and also the 5397-th hexagonal number.

It is an amenable number.

58249821 is a deficient number, since it is larger than the sum of its proper divisors (33292707).

58249821 is a wasteful number, since it uses less digits than its factorization.

58249821 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 561.

The product of its digits is 46080, while the sum is 39.

The square root of 58249821 is about 7632.1570345480. The cubic root of 58249821 is about 387.6426302555.

It can be divided in two parts, 582 and 49821, that added together give a triangular number (50403 = T₃₁₇).

The spelling of 58249821 in words is "fifty-eight million, two hundred forty-nine thousand, eight hundred twenty-one".