1054138167 has 24 divisors (see below), whose sum is σ = 1610114688. Its totient is φ = 663494400.

The previous prime is 1054138121. The next prime is 1054138199. The reversal of 1054138167 is 7618314501.

1054138167 is a `hidden beast` number, since 105 + 413 + 81 + 67 = 666.

It is not a de Polignac number, because 1054138167 - 2¹⁸ = 1053876023 is a prime.

It is a super-2 number, since 2×1054138167² = 2222414550252239778, which contains 22 as substring.

It is a congruent number.

It is not an unprimeable number, because it can be changed into a prime (1054137167) by changing a digit.

It is a polite number, since it can be written in 23 ways as a sum of consecutive naturals, for example, 34638 + ... + 57515.

It is an arithmetic number, because the mean of its divisors is an integer number (67088112).

Almost surely, 2^1054138167 is an apocalyptic number.

1054138167 is a deficient number, since it is larger than the sum of its proper divisors (555976521).

1054138167 is a wasteful number, since it uses less digits than its factorization.

1054138167 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 92231 (or 92228 counting only the distinct ones).

The product of its (nonzero) digits is 20160, while the sum is 36.

The square root of 1054138167 is about 32467.4940055435. The cubic root of 1054138167 is about 1017.7298502965.

The spelling of 1054138167 in words is "one billion, fifty-four million, one hundred thirty-eight thousand, one hundred sixty-seven".