58537801 has 9 divisors (see below), whose sum is σ = 68157351. Its totient is φ = 50129352.

The previous prime is 58537799. The next prime is 58537849. The reversal of 58537801 is 10873585.

The square root of 58537801 is 7651.

It is a perfect power (a square), and thus also a powerful number.

It can be written as a sum of positive squares in only one way, i.e., 57684025 + 853776 = 7595^2 + 924^2 .

It is not a de Polignac number, because 58537801 - 2¹ = 58537799 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (58537861) by changing a digit.

It is a polite number, since it can be written in 8 ways as a sum of consecutive naturals, for example, 53011 + ... + 54103.

It is an arithmetic number, because the mean of its divisors is an integer number (7573039).

Almost surely, 2^58537801 is an apocalyptic number.

58537801 is the 7651-st square number.

58537801 is the 3826-th centered octagonal number.

It is an amenable number.

58537801 is a deficient number, since it is larger than the sum of its proper divisors (9619550).

58537801 is an frugal number, since it uses more digits than its factorization.

58537801 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 2200 (or 1100 counting only the distinct ones).

The product of its (nonzero) digits is 33600, while the sum is 37.

The cubic root of 58537801 is about 388.2803996609.

The spelling of 58537801 in words is "fifty-eight million, five hundred thirty-seven thousand, eight hundred one".