10193764 has 18 divisors (see below), whose sum is σ = 20751990. Its totient is φ = 4368672.

The previous prime is 10193737. The next prime is 10193767. The reversal of 10193764 is 46739101.

10193764 = T₂ + T₃ + ... + T₃₉₃.

It is a happy number.

10193764 is digitally balanced in base 2, because in such base it contains all the possibile digits an equal number of times.

It can be written as a sum of positive squares in only one way, i.e., 10188864 + 4900 = 3192^2 + 70^2 .

It is not an unprimeable number, because it can be changed into a prime (10193767) by changing a digit.

It is a polite number, since it can be written in 5 ways as a sum of consecutive naturals, for example, 25809 + ... + 26200.

Almost surely, 2^10193764 is an apocalyptic number.

10193764 is a gapful number since it is divisible by the number (14) formed by its first and last digit.

It is an amenable number.

10193764 is an abundant number, since it is smaller than the sum of its proper divisors (10558226).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

10193764 is a wasteful number, since it uses less digits than its factorization.

10193764 is an evil number, because the sum of its binary digits is even.

The sum of its prime factors is 52027 (or 52018 counting only the distinct ones).

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

The square root of 10193764 is about 3192.7674516006. The cubic root of 10193764 is about 216.8260833348.

The spelling of 10193764 in words is "ten million, one hundred ninety-three thousand, seven hundred sixty-four".