90314761 has 12 divisors (see below), whose sum is σ = 96678036. Its totient is φ = 84076800.

The previous prime is 90314723. The next prime is 90314773. The reversal of 90314761 is 16741309.

90314761 = T₇₇₅₈ + T₇₇₅₉ + T₇₇₆₀.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 44142736 + 46172025 = 6644^2 + 6795^2 .

It is not a de Polignac number, because 90314761 - 2⁷ = 90314633 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (90314701) by changing a digit.

It is a polite number, since it can be written in 11 ways as a sum of consecutive naturals, for example, 387501 + ... + 387733.

It is an arithmetic number, because the mean of its divisors is an integer number (8056503).

Almost surely, 2^90314761 is an apocalyptic number.

90314761 is the 7760-th centered triangular number.

It is an amenable number.

90314761 is a deficient number, since it is larger than the sum of its proper divisors (6363275).

90314761 is a wasteful number, since it uses less digits than its factorization.

90314761 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 552 (or 401 counting only the distinct ones).

The product of its (nonzero) digits is 4536, while the sum is 31.

The square root of 90314761 is about 9503.4078624460. The cubic root of 90314761 is about 448.6623006590.

The spelling of 90314761 in words is "ninety million, three hundred fourteen thousand, seven hundred sixty-one".