438106761 has 9 divisors (see below), whose sum is σ = 632911591. Its totient is φ = 292029312.

The previous prime is 438106723. The next prime is 438106789. The reversal of 438106761 is 167601834.

The square root of 438106761 is 20931.

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., 86769225 + 351337536 = 9315^2 + 18744^2 .

It is a tau number, because it is divible by the number of its divisors (9).

It is not a de Polignac number, because 438106761 - 2¹⁷ = 437975689 is a prime.

It is a super-2 number, since 2×438106761² = 383875068067822242, which contains 22 as substring.

It is a Duffinian number.

It is a Curzon number.

It is not an unprimeable number, because it can be changed into a prime (438106961) 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, 59305 + ... + 66281.

Almost surely, 2^438106761 is an apocalyptic number.

438106761 is the 20931-st square number.

438106761 is the 10466-th centered octagonal number.

It is an amenable number.

438106761 is a deficient number, since it is larger than the sum of its proper divisors (194804830).

438106761 is an frugal number, since it uses more digits than its factorization.

438106761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 13960 (or 6980 counting only the distinct ones).

The product of its (nonzero) digits is 24192, while the sum is 36.

The cubic root of 438106761 is about 759.4980301399.

Multiplying 438106761 by its sum of digits (36), we get a square (15771843396 = 125586²).

The spelling of 438106761 in words is "four hundred thirty-eight million, one hundred six thousand, seven hundred sixty-one".