1667253141 has 24 divisors (see below), whose sum is σ = 2515758336. Its totient is φ = 1061992800.

The previous prime is 1667253131. The next prime is 1667253199. The reversal of 1667253141 is 1413527661.

1667253141 is a `hidden beast` number, since 16 + 6 + 72 + 531 + 41 = 666.

It is not a de Polignac number, because 1667253141 - 2⁷ = 1667253013 is a prime.

It is a junction number, because it is equal to n+sod(n) for n = 1667253096 and 1667253105.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1667253101) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 205716 + ... + 213666.

It is an arithmetic number, because the mean of its divisors is an integer number (104823264).

Almost surely, 2^1667253141 is an apocalyptic number.

It is an amenable number.

1667253141 is a deficient number, since it is larger than the sum of its proper divisors (848505195).

1667253141 is a wasteful number, since it uses less digits than its factorization.

1667253141 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 8993 (or 8990 counting only the distinct ones).

The product of its digits is 30240, while the sum is 36.

The square root of 1667253141 is about 40832.0112289365. The cubic root of 1667253141 is about 1185.7701536298.

The spelling of 1667253141 in words is "one billion, six hundred sixty-seven million, two hundred fifty-three thousand, one hundred forty-one".