363948761 has 12 divisors (see below), whose sum is σ = 410859876. Its totient is φ = 321916320.

The previous prime is 363948737. The next prime is 363948763. The reversal of 363948761 is 167849363.

It is a happy number.

It can be written as a sum of positive squares in 2 ways, for example, as 195468361 + 168480400 = 13981^2 + 12980^2 .

It is not a de Polignac number, because 363948761 - 2¹⁴ = 363932377 is a prime.

It is a Duffinian number.

It is not an unprimeable number, because it can be changed into a prime (363948763) 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, 36170 + ... + 45123.

It is an arithmetic number, because the mean of its divisors is an integer number (34238323).

Almost surely, 2^363948761 is an apocalyptic number.

It is an amenable number.

363948761 is a deficient number, since it is larger than the sum of its proper divisors (46911115).

363948761 is a wasteful number, since it uses less digits than its factorization.

363948761 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 81352 (or 81341 counting only the distinct ones).

The product of its digits is 653184, while the sum is 47.

The square root of 363948761 is about 19077.4411544106. The cubic root of 363948761 is about 713.9701940234.

The spelling of 363948761 in words is "three hundred sixty-three million, nine hundred forty-eight thousand, seven hundred sixty-one".